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Chapter 18

Stress and Strain – Axial Loading

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A rod subjected to a load undergoes elongation. A load-deformation diagram can represent the elongation but cannot predict deformation in different rods. …
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Consider a cylindrical specimen placed in a system to measure its tensile strength. Two gauge marks are inscribed on the central portion of the specimen. …
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When a specimen is subjected to loading the length first increases linearly at a slow rate, resulting in an initial straight line with a steep slope on …
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Brittle materials, under tensile stress, do not elongate much before rupturing, meaning their ultimate and breaking strengths are identical. Compared with …
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Engineering stress is the ratio of the load and the undeformed original cross-sectional area. Engineering stress approximates strain which represents the …
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Hooke's law states that stress applied to a material is directly proportional to the strain it experiences within the elastic limit. For ductile …
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Materials under stress due to tensile loading exhibit elastic and linear behavior until the yield point. Removing the load at the yield point, stress and …
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Fatigue occurs when the materials, under repeated loads for thousands or millions of cycles, rupture at a stress level much lower than the material's …
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The deformation of a rod with different materials and cross-sections is computed by dividing it into parts, each characterized by individual parameters. …
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Consider two cylindrical rods, one of steel and another of brass, joined at point B and restrained by rigid supports at points A and C. Determine the …
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A homogeneous rod with a uniform cross-section, resting freely on a horizontal surface, expands when heated. The expansion is proportional to the …
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Consider a non-homogenous rod made of steel and brass, restrained at both ends and subjected to a temperature change. The stress and load on the rod are …
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When a slender bar is subjected to an axial load, the bar material undergoes axial strain, causing it to deform in the axial direction. Simultaneously, …
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The generalized Hooke's Law extends Hooke's Law to all stress types and directions, aiding in understanding materials under multiaxial stress …
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The bulk modulus measures a material's resistance to uniform compression. It is defined as the proportionality constant between a change in pressure …
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In a cubic element with a general state of stress, the shearing stresses can deform a cube into an oblique parallelepiped without affecting normal …
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A slender bar subjected to an axial load undergoes deformation in the axial and transverse directions. The deformation affects the cubic elements within …
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Consider a member with plates on both ends. When loads are applied centrally on the plates, they move towards each other without rotating, causing the …
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Stress concentration refers to the amplification of stress in a structural member near points of discontinuity, such as holes or abrupt changes in …
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When a rod is stretched beyond its yield point, it permanently deforms and doesn't regain its original length. The stresses created during loading are …
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The electrical response of NH2-functionalized graphene nanoplatelets composite materials under strain was studied. Two different manufacturing methods are …
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A novel measurement approach is used to reveal the cumulative deformation field at a sub-grain level and to study the influence of microstructure on the …
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The mechanical response of a material under dynamic load is typically different than its behavior under static conditions; therefore, the common …